407440 has 40 divisors (see below), whose sum is σ = 1035648. Its totient is φ = 147840.

The previous prime is 407437. The next prime is 407471. The reversal of 407440 is 44704.

407440 = T₂₅ + T₂₆ + ... + T₁₃₄.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 649 + ... + 1111.

2⁴⁰⁷⁴⁴⁰ is an apocalyptic number.

407440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517824).

407440 is an abundant number, since it is smaller than the sum of its proper divisors (628208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

407440 is a wasteful number, since it uses less digits than its factorization.

407440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 407440 is about 638.3102693832. The cubic root of 407440 is about 74.1346465041.

It can be divided in two parts, 4074 and 40, that added together give a palindrome (4114).

The spelling of 407440 in words is "four hundred seven thousand, four hundred forty", and thus it is an iban number.